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Bayesian statistical decision theory. --- Estadística bayesiana --- Bayes' solution --- Bayesian analysis --- Statistical decision --- Estadística de Bayes --- Fórmula de Bayes --- Presa de decisions (Estadística bayesiana) --- Solució de Bayes --- Teorema de Bayes --- Teoria de la decisió estadística bayesiana --- Presa de decisions

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Provides an accessible approach to Bayesian data analysis, as material is explained clearly with concrete examples. The book begins with the basics, including essential concepts of probability and random sampling, and gradually progresses to advanced hierarchical modeling methods for realistic data.

Mathematical statistics --- Bayesian statistical decision theory. --- R (Computer program language) --- GNU-S (Computer program language) --- Domain-specific programming languages --- Bayes' solution --- Bayesian analysis --- Statistical decision --- Bayesian statistical decision theory --- Estadística bayesiana --- R (Lenguaje de programación) --- GNU-S (Lenguaje de programación) --- Lenguajes de programación --- Análisis bayesiano --- Bayes, Solución de --- Bayes, Teorema de --- Decisión bayesiana, Teoría de la --- Inferencia bayesiana --- Solución de Bayes --- Teorema de Bayes --- Teoría de la decisión estadística bayesiana --- Toma de decisiones (Estadística bayesiana) --- Toma de decisiones --- Estadística bayesiana.

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Statistical science --- statistiek --- systeemtheorie --- Kalman filtering. --- Bayesian statistical decision theory --- Data processing. --- Bayes' solution --- Bayesian analysis --- Statistical decision --- Filtering, Kalman --- Control theory --- Estimation theory --- Prediction theory --- Stochastic processes --- Filtre de Kalman --- Estadística bayesiana --- Estadística de Bayes --- Fórmula de Bayes --- Presa de decisions (Estadística bayesiana) --- Solució de Bayes --- Teorema de Bayes --- Teoria de la decisió estadística bayesiana --- Presa de decisions --- Processos estocàstics --- Teoria de control --- Teoria de la predicció --- Teoria de l'estimació

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Accessible to a variety of readers, this book is of interest to specialists, graduate students and researchers in mathematics, optimization, computer science, operations research, management science, engineering and other applied areas interested in solving optimization problems. Basic principles, potential and boundaries of applicability of stochastic global optimization techniques are examined in this book. A variety of issues that face specialists in global optimization are explored, such as multidimensional spaces which are frequently ignored by researchers. The importance of precise interpretation of the mathematical results in assessments of optimization methods is demonstrated through examples of convergence in probability of random search. Methodological issues concerning construction and applicability of stochastic global optimization methods are discussed, including the one-step optimal average improvement method based on a statistical model of the objective function. A significant portion of this book is devoted to an analysis of high-dimensional global optimization problems and the so-called ‘curse of dimensionality’. An examination of the three different classes of high-dimensional optimization problems, the geometry of high-dimensional balls and cubes, very slow convergence of global random search algorithms in large-dimensional problems , and poor uniformity of the uniformly distributed sequences of points are included in this book. .

Calculus of variations. --- Industrial engineering. --- Production engineering. --- Probabilities. --- Matrix theory. --- Algebra. --- Calculus of Variations and Optimal Control; Optimization. --- Industrial and Production Engineering. --- Probability Theory and Stochastic Processes. --- Linear and Multilinear Algebras, Matrix Theory. --- Mathematics --- Mathematical analysis --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Manufacturing engineering --- Process engineering --- Industrial engineering --- Mechanical engineering --- Management engineering --- Simplification in industry --- Engineering --- Value analysis (Cost control) --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Nonconvex programming. --- Global optimization --- Non-convex programming --- Programming (Mathematics) --- Optimització matemàtica --- Estadística bayesiana --- Estadística de Bayes --- Fórmula de Bayes --- Presa de decisions (Estadística bayesiana) --- Solució de Bayes --- Teorema de Bayes --- Teoria de la decisió estadística bayesiana --- Presa de decisions --- Mètodes de simulació --- Jocs d'estratègia (Matemàtica) --- Optimització combinatòria --- Programació dinàmica --- Programació (Matemàtica) --- Anàlisi de sistemes

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Probabilities. --- Estadística bayesiana --- Probabilitats --- Avaluació del risc --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Anàlisi del risc --- Valoració del risc --- Avaluació --- Risc (Economia) --- Avaluació del risc ambiental --- Avaluació del risc per la salut --- Comunicació de risc --- Gestió del risc --- Principi de precaució --- Càlcul de probabilitats --- Inferència estadística --- Probabilitat --- Combinatòria (Matemàtica) --- Lògica --- Lògica matemàtica --- Anàlisi de sèries temporals --- Correlació (Estadística) --- Descomposició (Matemàtica) --- Distribució (Teoria de la probabilitat) --- Fiabilitat (Enginyeria) --- Funcions característiques --- Geometria estocàstica --- Incertesa (Teoria de la informació) --- Integrals de camí --- Jocs d'atzar (Matemàtica) --- Mitjana (Estadística) --- Probabilitats combinatòries --- Processos estocàstics --- Sort --- Teoremes de límit (Teoria de probabilitats) --- Teoria matemàtica de la comunicació --- Variables aleatòries --- Atzar --- Teoria ergòdica --- Estadística de Bayes --- Fórmula de Bayes --- Presa de decisions (Estadística bayesiana) --- Solució de Bayes --- Teorema de Bayes --- Teoria de la decisió estadística bayesiana --- Presa de decisions